Simulation Approach for Time-Distance Calculations Based on Newton Forward Divided Difference Interpolation Formula

Authors

  • Zubaidah Sadikin Universiti Teknologi MARA Shah Alam
  • Nurzalina Harun Universiti Teknologi MARA Shah Alam
  • Elaziera Panji Universiti Teknologi MARA Shah Alam
  • Nur Nadhirah Mohd Rohaidi Universiti Teknologi MARA Shah Alam
  • Sidik Rathi Universiti Teknologi MARA Shah Alam
  • Mohd Agos Salim Nasir Universiti Teknologi MARA Shah Alam

Keywords:

Newton Forward Divided Difference, Distance, Efficient

Abstract

i-Dash is an innovative application designed to revolutionize the estimation of distance traveled by
implementing sophisticated mathematical models such as the Newton Forward Divided Difference Interpolation
Formula. By integrating this formula within its graphical user interface (GUI), i-Dash addresses the challenges
associated with manually determining optimal routes, offering users enhanced journey experiences and enabling
industries to achieve heightened cost, time, and operational efficiencies. Through its utilization of mathematical
algorithms, i-Dash dynamically derives a distance function based on time and distance data, providing precise
estimations of distance traveled. This approach not only improves the accuracy of estimations but also enhances user
experience and facilitates decision-making processes. Leveraging i-Dash's capabilities, users can navigate complex
routes with confidence, while industries benefit from optimized logistical planning and resource allocation strategies.
Furthermore, i-Dash's innovative approach contributes to advancements in transportation technology and
underscores the importance of mathematical modeling in solving real-world problems. The Newton Forward Divided
Difference Interpolation Formula has been widely recognized for its effectiveness in estimating functions from
discrete data points, making it a suitable choice for i-Dash's distance estimation functionality. Additionally, the
significance of graphical user interfaces in simplifying complex tasks and improving user accessibility further
validating i-Dash's approach to enhancing journey experiences through its intuitive interface design.

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Published

2024-05-09

How to Cite

Zubaidah Sadikin, Nurzalina Harun, Elaziera Panji, Nur Nadhirah Mohd Rohaidi, Sidik Rathi, & Mohd Agos Salim Nasir. (2024). Simulation Approach for Time-Distance Calculations Based on Newton Forward Divided Difference Interpolation Formula. Malaysia Journal of Invention and Innovation, 3(6), 19–31. Retrieved from https://digit360.com.my/mjii/index.php/home/article/view/99